Exercises for William Dunham's Journey Through Genius: The Great Theorems of Mathematics

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Exercises for William Dunham's Journey Through Genius: The Great Theorems of Mathematics

Module 1: Curve Drawing Then and Now
Exercise 1.

Five historical maximum and minimum problems

Two thousand years of tangent lines from Apollonius through today

Module 1 introduces historical methods used to draw an ellipse.

Project to help computer science students understand partial correctness proof by studying the pioneering paper of Robert W. Floyd.

A finite automaton can be considered as the simplest machine model in that the machine has a finite memory; that is, the memory size is independent of the input length.

Project in which graph theory, combinatorics, or computer science students learn about labeled trees and minimal spanning trees by studying original papers of Cayley, Prufer, and Boruvka

Project in which upper-level discrete math and combinatorics students count triangulations along with Lame and discover the Catalan numbers

A project to help students learn connections between sums of powers and binomial coefficients from writings of Fermat, Pascal, and Bernoulli